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Computing equilibria in finance economies with incomplete markets and transaction costs

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Author Info
P. Herings ()
Karl Schmedders ()

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Abstract

Transaction costs on financial markets may have important consequences for volumes of trade, asset pricing, and welfare. This paper introduces an algorithm for the computation of equilibria in the general equilibrium model with incomplete asset markets and transaction costs. We show that economies with transaction costs can be analyzed with differentiable homotopy techniques and thus in the same framework as frictionless economies despite the existence of non-differentiabilities of agents’ asset demand functions and the existence of locally non-unique equilibria. We introduce an equilibrium selection concept into the computation of economic equilibria that picks out a specific equilibrium in the presence of a continuum of equilibria. Copyright Springer-Verlag Berlin/Heidelberg 2006

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File URL: http://hdl.handle.net/10.1007/s00199-004-0583-4
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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 27 (2006)
Issue (Month): 3 (04)
Pages: 493-512
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Handle: RePEc:spr:joecth:v:27:y:2006:i:3:p:493-512

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Related research
Keywords: Transaction costs; Incomplete markets; Computational methods; Asset pricing.;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Prechac, Christophe, 1996. "Existence of equilibrium in incomplete markets with intermediation costs," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 373-380. [Downloadable!] (restricted)
  2. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February. [Downloadable!] (restricted)
  3. Pradeep Dubey & John Geanakoplos & Martin Shubik, 1988. "Default and Efficiency in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 879R, Cowles Foundation, Yale University, revised Feb 1989. [Downloadable!]
  4. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May. [Downloadable!] (restricted)
  5. Aiyagari, S. Rao & Gertler, Mark, 1991. "Asset returns with transactions costs and uninsured individual risk," Journal of Monetary Economics, Elsevier, vol. 27(3), pages 311-331, June. [Downloadable!] (restricted)
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  6. Jean-Jacques Herings, P., 1997. "A globally and universally stable price adjustment process," Journal of Mathematical Economics, Elsevier, vol. 27(2), pages 163-193, March. [Downloadable!] (restricted)
  7. John Heaton & Deborah Lucas, 1993. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," NBER Working Papers 4249, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  8. Arrow, Kenneth J. & Hahn, Frank, 1999. "Notes on Sequence Economies, Transaction Costs, and Uncertainty," Journal of Economic Theory, Elsevier, vol. 86(2), pages 203-218, June. [Downloadable!] (restricted)
  9. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier. [Downloadable!] (restricted)
  10. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38. [Downloadable!] (restricted)
  11. Schmedders, Karl, 1998. "Computing equilibria in the general equilibrium model with incomplete asset markets," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1375-1401, August. [Downloadable!] (restricted)
  12. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August. [Downloadable!] (restricted)
  13. Brown, Donald J & DeMarzo, Peter M & Eaves, B Curtis, 1996. "Computing Equilibria When Asset Markets Are Incomplete," Econometrica, Econometric Society, vol. 64(1), pages 1-27, January. [Downloadable!] (restricted)
  14. Herings,P. Jean-Jacques & Peeters,R., 1999. "A Differentiable Homotopy to Compute Nash Equilibria of n-Person Games," Research Memoranda 038, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  15. Laitenberger, Marta, 1996. "Existence of financial market equilibria with transaction costs," Ricerche Economiche, Elsevier, vol. 50(1), pages 69-77, March. [Downloadable!] (restricted)
  16. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September. [Downloadable!] (restricted)
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  1. Martins-da-Rocha, V. F. & Vailakis, Yiannis, 2008. "Endogenous Transaction Costs," Economics Working Papers (Ensaios Economicos da EPGE) 680, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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